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GCD of 421, 844, 509, 472 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 421, 844, 509, 472 quickly. Get the easiest ways to solve the greatest common divisor of 421, 844, 509, 472 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 421, 844, 509, 472 with Factoring?

Given Input numbers are 421, 844, 509, 472

In the factoring method, we have to find the divisors of all numbers

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472


GCD of numbers is the greatest common divisor

So, the GCD (421, 844, 509, 472) = 1.

Find GCD of 421, 844, 509, 472 using Prime Factorization

Given numbers are 421, 844, 509, 472

The list of prime factors of all numbers are

Prime factors of 421 are 421

Prime factors of 844 are 2 x 2 x 211

Prime factors of 509 are 509

Prime factors of 472 are 2 x 2 x 2 x 59

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 421, 844, 509, 472 using LCM Formula

Given numbers are 421, 844, 509, 472

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(421, 844) = 355324

GCD(421, 844) = ( 421 x 844 ) / 355324

= 421 / 844

= 421


Step2:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1


Step3:

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

= 1 / 472

= 1


So, Greatest Common Divisor of 421, 844, 509, 472 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 421, 844, 509, 472

Given numbers are 421, 844, 509, 472
The greatest common divisor of numbers 421, 844, 509, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 844, 509, 472 is 1.

FAQs on GCD of 421, 844, 509, 472 Calculator

1. What is the GCD of 421, 844, 509, 472?

GCD of given numbers 421, 844, 509, 472 is 1


2. How to calculate the greatest common divisor of 421, 844, 509, 472?

We can find the highest common divisor of 421, 844, 509, 472 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 421, 844, 509, 472 i.e 1.


3. How can I use the GCD of 421, 844, 509, 472Calculator?

Out the numbers 421, 844, 509, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.